Interacting finite-size magnons
| dc.creator | Klose, Thomas | |
| dc.creator | McLoughlin, Tristan | |
| dc.date | 2008-03-17 | |
| dc.date | 2008-03-25 | |
| dc.date.accessioned | 2026-07-07T11:33:12Z | |
| dc.date.available | 2026-07-07T11:33:12Z | |
| dc.description | We explicitly construct a large class of finite-volume two-magnon string solutions moving on R x S^2. In particular, by making use of the relationship between the O(3) sigma model and sine-Gordon theory we are able to find solutions corresponding to the periodic analogues of magnon scattering and breather-like solutions. After semi-classically quantizing these solutions we invert the implicit expressions for the excitation energies in certain limits and find the corrections for the multi-magnon states. For the breather-like solutions we express the energies directly in terms of the action variable whereas for the scattering solution we express the result as a combination of corrections to the dispersion relation and to the scattering phase. | |
| dc.description | 45pages, 7figures, v2: simplified expressions for periods and angular momenta when elliptic modulus is greater than one, references added, typos corrected | |
| dc.identifier | https://arxiv.org/abs/0803.2324 | |
| dc.identifier | http://arxiv.org/abs/0803.2324 | |
| dc.identifier | J.Phys.A41:285401,2008 | |
| dc.identifier | doi:10.1088/1751-8113/41/28/285401 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/197811 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Interacting finite-size magnons | |
| dc.type | text |